If the data point is at (3, 10.5) and the prediction equation is y = -6.1x + 12.5, what is the value of the residual for this data point?

Answers

Answer 1

Given:

The data point is (3,10.5).

The prediction equation is [tex]y=-6.1x+12.5[/tex].

To find:

The value of the residual for this data point.

Step-by-step explanation:

The data point is (3,10.5). So, the actual value is 10.5 at [tex]x=3[/tex].

Prediction equation is

[tex]y=-6.1x+12.5[/tex]

Putting [tex]x=3[/tex], we get

[tex]y=-6.1(3)+12.5[/tex]

[tex]y=-18.3+12.5[/tex]

[tex]y=-5.8[/tex]

The formula for residual is:

Residual = Actual value - Expected value

[tex]Residual=10.5-(-5.8)[/tex]

[tex]Residual=10.5+5.8[/tex]

[tex]Residual=16.3[/tex]

Therefore, the residual for the given data point is 16.3.


Related Questions

plz help me 2 plz 2 plz 2

Answers

Step-by-step explanation:

P(-4,7)

Q(-1,-1)

R(-8,-1)

What shape is made from these the following points? (1,1),(4,4),(4,1),(1,4)

Answers

Answer:

Rectangle

Step-by-step explanation:

Draw the dots on a grid and connect the dots

two sides have length of 3

two sides have length of 4

Find the total surface area of the prism below​

Answers

Do not click that link

What is the unit rate for the proportional relationship represented by the equation y=4/5x
Answer choices:
A:4/5
B:-2
C:4
D:5

Answers

Answer:

A: 4/5

Step-by-step explanation:

The equation for proportionality is y = kx, where k is the constant of proportionality. That is what you're looking for in this question.

So in y = 4/5x, 4/5 is the constant of proportionality/unit rate for the proportional relationship.

The 4/5 is the constant of proportionality/unit rate for the proportional relationship.

We have given that,

the unit rate for the proportional relationship is represented by the equation y=4/5x.

We have to determine the unit rate

What is the equation of proportionality?

The equation for proportionality is y = kx, where k is the constant of proportionality.

So in y = 4/5x,

The 4/5 is the constant of proportionality/unit rate for the proportional relationship.

To learn more about the proportionality visit:

https://brainly.com/question/24868934

#SPJ2

i need help btw i am in middle school

Answers

Answer:$32.86

Step-by-step explanation:

multiply the percent (6%) by 31$ which will get you 1.86. that's the tax amount. so then you add that to $31 and get $32.86

Answer:

C. 32.86

Step-by-step explanation:

The equation to calculate how much the tax is

31 x 0.06

This equals 1.86

Now add the original price and the tax amount together.

31 + 1.86 = 32.86

Therefore, the answer is 32.86

If I have the letter x after a number, what does it mean?

Ex. 20x = 5

Answers

Answer:

It means that 20 times x is 5

also the answer to that problem (20x=5) is 1/4

Step-by-step explanation:

20x means

20 * x

and since 20 * x = 5

divide 5 and 20

5/20 = 1/4

PLZ HELPPP.3+28/z +4s use z=7 and s=5

Answers

3+28/7+4*5 /reduce the fraction with 7
=> 3+4+20
=> 27

whats the equation to #4

Answers

Answer:

I'm guessing this is for volume

Step-by-step explanation:

The equation to number 4 is

15 x 10 x 12= 1,800 in³

how many unique triangles can be drawn with side lengths of 3 units, 4 units, and 5 units

Answers

Answer:

1 perfect right angle

Step-by-step explanation:

please mark this answer as brainlest

A carpenter lays 18 square feet of tile in 2/3 of an hour. How many square feet of tile does the carpenter lay per hour?

Answers

Answer:

x=24

Step-by-step explanation:

there are different ways to solve the problem

set up a proportion:

16/(2/3)=x/1

cross multiply

(2/3)x=16

(3/2)(2/3)x=(3/2)(16)

x=24 square feet per hour

a carpenter lays 16 square feet in 40 minutes (2/3 of an hour)

this means he lays 4 square feet every 10 minutes

8 square feet in 20 minutes

12 square feet in 30 minutes

24 square feet in 60 minutes

How many centimeters are equal to 9 meters?

Answers

i think Is 9p centímetros

Preform the indicated operation. √75 + √12

Answers

Answer:

the exact form is [tex]7 \sqrt{3}\\[/tex] but the decimal form is 12.124 :)))

Step-by-step explanation:

At middle school lunch in the cafeteria, 60% of the students pack a lunch and 40% buy a lunch. Of the students who pack a lunch, 70% have a cookie. What is the percent of the students who have a cookie at lunch?

Answers

Answer:

42%

Step-by-step explanation:

The computation of the percentage is shown below:

Here we assume that there are 100 students

So according to the question

60% of the students would pack the lunch i.e. 60 students

And, 40% of the students buy a lunch i.e. 40 students

Now the students who pack the lunch they have 70% of cookie

So, 70% of 60 students = 42 students

Now the percentage is

= 42 students ÷ 100 students

= 42%

Megan has $25 to spend at the movies. If her ticket cost $8.75 and she already
purchased a drink for $3.50, how much does she have left to spend on snacks?

Answers

If you add the price of the ticket and drink it comes out to 12.25, subtract from 25 and the answer is 12.75

Answer:

$12.75

Step-by-step explanation:

8.75 + 3.50 = 12.25

25 - 12.25= 12.75

I need help please i don’t understand

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

The dimensions will be those of a rectangular mirror if the diagonal measure is the hypotenuse of the right triangle with the given side lengths.

The Pythagorean theorem would require for some width w ...

  w^2 +24^2 = 30^2

  w^2 = 900 -576 = 324

  w = √324 = 18

A rectangular mirror with a length of 24 inches and a diagonal of 30 inches will have a width of 18 inches, not 16.

__

The attachment shows that a width of 16 inches is not consistent with a right-angle corner.

_____

Additional comment

If you reduce the given numbers to lowest terms by dividing them by 2, they become 8, 12, 15. That is, the two shortest sides are even and the longest is odd. Any set of integer dimensions for a right triangle must have an even number of odd numbers (0 or 2). These numbers cannot be a Pythagorean triple, so cannot make a right triangle.

At 7am there was 4 inches of snow on the ground. After that, the snow fell at a rate of 1.5 inches per hour. Equation:

Answers

Answer:

y(t) = 4 + 1.5t

.

Step-by-step explanation:

Initial amount of snow = 4 inches

Fall rate of snow = 1.5 inch per hour

Equation to model the scenario goes thus :

Initial amount of snow + (fall rate of snow * number of hours)

Let the number of hours = h

4 inches + (1.5 inch per hour * h)

Equation, y(t) becomes ;

y(t) = 4 + 1.5t

A school principal wants to find out what the students think about the teaching
quality in the school. Which of these samples is unbiased?

Answers

You didn't show the full question

Use the given equation to complete the table s = 16t^2 using the points from the table select the graph the best represents the equation a. 0, 16, 64, 144; graph a b. 0, 4, 8, 12 graph a c. 0, 16, 64, 144; graph b d. 0, 4, 8, 12; graph b

Answers

Answer:

0, 16, 64, 144

Step-by-step explanation:

I substituted the t values into the giving equation and solved until it gave the s values.

I hope this helps^-^

Answer:

It's A

0, 16, 64,144 graph A edge

Step-by-step explanation:

I got it right see

The equation of the line shown in the graph is y = ?.

Answers

Answer:

y=5x-5

Step-by-step explanation:

we start from -5 and go rise/run so its 5

The volume of a cylinder is 8T cubic centimeters. The
radius and the height are equal. What is radius of the
cylinder? Explain how you know.

Answers

i’ve assumed that T= pi

can u help me with this question ​

Answers

Answer:

3. y = -2√(x+3) - 5

Explanation:

reflected across the x-axis: the y is negative (2 eliminated)

vertically stretched by a factor of 2 (they're all stretched by a factor of 2)

translated left 3 units (1 eliminated)

translated down 5 units (4 eliminated)

3 is left which is y = -2√(x+3) - 5

ILL BRAINLIEST YOU IF YOU GET IT RIGHT

Can you help me match each figure with the appropriate angle pair relationship

Answers

Answer:

co interior angle plz take my and

Answer:

1) Alternate exterior

2) alternate interior

3) consecutive interior angles

Alright so here’s a trick

Alternate already means different sides so look for that.

Interior angles are all the angles inside the two parllel lines.

Exterior angles are all angles out side the two parralel lines.

No matter what if its alternative interior or exterior, it should make a perfect

“/“ or back slash.

Consecutive is on the same side.

Corresponing is also on the same side but it has 1 exterior and 1 interior

If two angles are vertical and one of the angles measures 65 degrees, what is the measurement of the other angle?

Answers

Answer:

65 degrees, because vertical angles are always congruent.

Step-by-step explanation:

Someone help please !!

Answers

Answer:

what grade is this?

Confused on this one help me solve for point B

Answers

Answer:

1,-1

Step-by-step explanation:

because section be is for +,-

Answer:

1,-1

Step-by-step explanation:

A person swims 11 miles downstream in the same time they can swim 7 miles up stream. The speed of the current is 4 miles per hour.
These situations can be represented by the equations
Downstream: t=11/s+4 Upstream:t=7/s-4,
where t stands for time and s is the speed of the swimmer. What is the speed of the swimmer swimming in still water?

Answers

Answer:

s = 18 mph

Step-by-step explanation:

At downstream, time is; t = 11/(s+ 4)

At upstream, time is; t = 7/(s - 4)

Since they both are passed in the same time, then ;

11/(s+ 4) = 7/(s - 4)

Cross Multiply to get;

11(s - 4) = 7(s + 4)

11s - 44 = 7s + 28

11s - 7s = 44 + 28

4s = 72

s = 72/4

s = 18

Hi can somebody help me, also explain what a alter interior angle is please

Answers

Answer:

a interior angle is a the angle between adjacent sides of a rectilinear figure.

it is 6

--heart if it helped you!--


(NO LINKS OR ELSE YOU WILL BE REPORTED)
Part A
What is the value of x?
Show your work.
Part B
Describe two different ways you could find measure of angle CFD. What is the measure of this angle?

Answers

Answer:

Step-by-step explanation:

Part A

Since, all angle formed at point F lie on a straight line CE.

Therefore, sum of angles ∠AFE, ∠AFB, ∠CFB will be 180°.

(7x + 4) + (8x + 6) + (6x + 2) = 180

21x + 12 = 180

21x = 168

x = 8

Part B

Two lines CD and AE intersect each other at point F.

Therefore, ∠AFE ≅ ∠DFC [Vertically opposite angles]

m∠CFD = (7x + 4)°

             = 7(8) + 4

             = 60°

Since, all angles formed at point F on a straight line AD are linear angles,

m∠AFB + m∠CFB + m∠CFD = 180°

(8x + 6) + (6x + 2) + m∠CFD = 180°

14x + 8 + m∠CFD = 180

m∠CFD = 172 - 14x

             = 172 - 14(8)

             = 172 - 112

             = 60°

Last year, Maria planted a tree that is 5 11/12 feet tall. This year, the tree is 7 2/3 feet tall. How many feet did the tree grow?

Answers

Answer

Step-by-step explanation:

1 3/4

Plzzz can someone help me out???

Answers

I think its the third one, the equation one,
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